R. A. Bailey

collaborators

3 papers

math.CO2026

Equitable partitions of regular graphs, and perfect sets in normal Cayley graphs

R. A. Bailey, Peter J. Cameron, Sanming Zhou

An equitable partition of a graph $\Ga$ is a partition ${V_{1}, \dots, V_{m}}$ of its vertex set such that for each pair $i, j$ all vertices in $V_{i}$ have the same number of neighbo…

stat.ME2024

The square array design

R. A. Bailey, L. M. Haines

This paper is about the construction of augmented row-column designs for unreplicated trials. The method uses the representation of a $k \times t$ equireplicate incomplete-block de…

math.GR2024

Permutation groups, partition lattices and block structures

Marina Anagnostopoulou-Merkouri, R. A. Bailey, Peter J. Cameron

Let $G$ be a transitive permutation group on $Ω$ . The $G$ -invariant partitions form a sublattice of the lattice of all partitions of $Ω$ , having the further property that all its e…